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Finding the Fourth Proportional to 14,529.87, 21,816.68 and 8,296.92

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Solution

The fourth proportional to 14,529.87, 21,816.68 and 8,296.92 is: 12,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529.87 : 21,816.68 = 8,296.92 : x
  2. Step 2: Convert to fraction form
    14,529.87/21,816.68 = 8,296.92/x
  3. Step 3: Cross multiply
    14,529.87x = 21,816.68 × 8,296.92
  4. Step 4: Simplify right side
    14,529.87x = 181,011,207.14
  5. Step 5: Solve for x
    x = 181,011,207.14/14,529.87
  6. Step 6: Final answer
    x = 12,457.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.